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Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones

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Abstract

We obtain criteria that answer the question of when an anti-isomorphism of graded endomorphism rings of the strict gr-generators is induced by a graded Morita anti-equivalence or a graded anti-semilinear isomorphism.

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Authors and Affiliations

  1. L. Tolstoy Tula State Pedagogical University, Tula, Russia

    I. N. Balaba

  2. Moscow State University, Moscow, Russia

    A. V. Mikhalev

Authors
  1. I. N. Balaba
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  2. A. V. Mikhalev
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Correspondence to I. N. Balaba.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 23–36, 2008.

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Balaba, I.N., Mikhalev, A.V. Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones. J Math Sci 164, 168–177 (2010). https://doi.org/10.1007/s10958-009-9747-x

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  • DOI: https://doi.org/10.1007/s10958-009-9747-x

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